A Population Has Distribution
Let X₁ and X₂ $\bar{X}$

Essay

A population has distribution
Let X₁ and X₂ be independent and each have the same distribution as the population.

(a) Find the expected value and variance of X₁.
(b) Determine the missing elements in the table for the sampling distribution of $\bar{X}$ = (X1 + X2) / 2

(c) Find the expected value and variance of $\bar{X}$ .
(d) If the sample size is increased to 25, give the mean and variance of $\bar{X}$